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Prove: cot^2A cos e c^2B-cot^2B cos e c^...

Prove: `cot^2A cos e c^2B-cot^2B cos e c^2A=cot^2A-cot^2B` .

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RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove: (cotA+tanB)/(cotB+tanA)=cotAtanB

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  2. Prove: (tanA+tanB)/(cotA+cotB)=tanAtanB

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  3. Prove: cot^2A cos e c^2B-cot^2B cos e c^2A=cot^2A-cot^2B .

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  4. Prove: tan^2Asec^2B-sec^2Atan^2B=tan^2A-tan^2B

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  5. If 3sintheta+5costheta=5, then show that 5sintheta-3theta=+-3.

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  6. If cos e c\ theta+cottheta=m and cos e c\ theta-cottheta=n , prove ...

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  7. If cosA+cos^2A=1, find the value of sin^2A+sin^4A.

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  8. Prove that: sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(secthet...

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  9. Prove that sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sinthe...

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  10. Prove that sqrt((1+costheta)/(1-costheta))+sqrt((1-costheta)/(1+costhe...

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  11. Prove that: (sectheta-1)/(sectheta+1)=((sintheta)/(1+costheta))^2

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  12. Given that: (1+cosalpha)(1+cosbeta)(1+cosgamma)=(1-cosalpha)(1-cosbeta...

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  13. If x=asecthetacosvarphi,\ \ y=bsecthetasinvarphi and z=ctantheta , sho...

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  14. If sintheta=3/5 , find the values of other trigonometric ratios.

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  15. If cottheta=9/(40) , find the values of cos e c\ theta and sectheta...

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  16. If costheta=1/2 , find the value of (2sectheta)/(1+tan^2theta)

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  17. If tantheta=(12)/5 , find the value of (1+sintheta)/(1-sintheta)

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  18. If sintheta=3/5 , find the value of (tantheta+sectheta)^2

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  19. If tantheta=3/4 , find the value of (1-costheta)/(1+costheta)

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  20. If costheta=3/5 , find the value of cottheta+cos e c\ theta .

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